A282399 - OEIS

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A282399

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than three of its king-move neighbors.

2, 4, 4, 8, 16, 8, 16, 57, 57, 16, 32, 213, 324, 213, 32, 64, 796, 2048, 2048, 796, 64, 128, 2964, 12771, 23773, 12771, 2964, 128, 256, 11049, 79266, 266425, 266425, 79266, 11049, 256, 512, 41193, 493671, 2966724, 5297294, 2966724, 493671, 41193, 512

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Table starts

...2......4........8.........16...........32..............64...............128

...4.....16.......57........213..........796............2964.............11049

...8.....57......324.......2048........12771...........79266............493671

..16....213.....2048......23773.......266425.........2966724..........33295509

..32....796....12771.....266425......5297294.......104126212........2073090293

..64...2964....79266....2966724....104126212......3599858930......126635741170

.128..11049...493671...33295509...2073090293....126635741170.....7910979963313

.256..41193..3072417..372745151..41113855962...4430221392726...490628902023166

.512.153556.19120172.4173376213.815396431544.155002258286662.30431979525697236

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..264

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1)

k=2: a(n) = 3*a(n-1) +a(n-2) +7*a(n-3) -2*a(n-4) -4*a(n-6)

k=3: [order 9]

k=4: [order 17]

k=5: [order 44]

EXAMPLE

Some solutions for n=4 k=4

..0..0..1..1. .1..0..1..1. .0..1..0..1. .1..0..0..1. .1..0..0..0

..0..0..0..0. .1..0..0..0. .0..1..0..1. .1..1..0..0. .0..0..1..0

..0..0..0..1. .0..0..0..1. .1..0..0..0. .0..1..0..0. .0..1..0..0

..0..1..0..0. .0..0..1..0. .0..0..0..1. .0..0..1..0. .0..0..0..1

CROSSREFS

Column 1 is A000079.

Sequence in context: A283691 A283130 A295716 * A297374 A297102 A283415

Adjacent sequences: A282396 A282397 A282398 * A282400 A282401 A282402

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 14 2017

STATUS

approved